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KVPY Sample Paper KVPY Stream-SX Model Paper-5

  • question_answer
    For silver \[{{C}_{p}}(J{{K}^{-\,1}}\,mo{{l}^{-\,1}})=23+0.01\,T.\] If the temperature (T) of 3 moles of silver is raised from 300 K to 1000 K at 1 atm pressure, the value of AH will be close to:

    A) 13 kJ                

    B) 16 kJ

    C) 62 kJ    

    D) 21 kJ

    Correct Answer: C

    Solution :

    \[{{C}_{p}}=23+0.01\,T\]
    \[n=3\]moles
    \[{{T}_{1}}=300K\]
    \[{{T}_{2}}=1000K\]
    \[\Delta H=n{{C}_{p}}\Delta T\]
    \[\Delta H=n\int\limits_{{{T}_{1}}}^{{{T}_{2}}}{{{C}_{p}}}\Delta T=3\int\limits_{300}^{1000}{(23+0.01T)dT}\]\[=3\int\limits_{300}^{100}{\left( 23T+\frac{0.01{{T}^{2}}}{2} \right)}\]= 61.95 KJ/mle = 62 KJ/mole.


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